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Finding the Fourth Proportional to 202.88, 305.96 and 187.90

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Solution

The fourth proportional to 202.88, 305.96 and 187.90 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.88 : 305.96 = 187.90 : x
  2. Step 2: Convert to fraction form
    202.88/305.96 = 187.90/x
  3. Step 3: Cross multiply
    202.88x = 305.96 × 187.90
  4. Step 4: Simplify right side
    202.88x = 57,489.88
  5. Step 5: Solve for x
    x = 57,489.88/202.88
  6. Step 6: Final answer
    x = 283.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.